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Least Common Multiple (LCM) of 97 and 28

The least common multiple (LCM) of 97 and 28 is 2716.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 97 and 28?

First, calculate the GCD of 97 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 28 = 3 remainder 13
2 28 ÷ 13 = 2 remainder 2
3 13 ÷ 2 = 6 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 10317613
154 and 6910626
11 and 86946
198 and 193762
135 and 512295

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